On the $L^{2}$-critical nonlinear Schrodinger equation with an inhomogeneous damping term

Mohamad Darwich

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arXiv · 1703.09101

On the $L^{2}$-critical nonlinear Schrodinger equation with an inhomogeneous damping term

Mohamad Darwich

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Abstract

We consider the $L^2$-critical nonlinear Schrodinger equation with an inhomogeneous damping term. We prove that there exists an initial data such that the corresponding solution is global in $H^1(R^d)$ and we give the minimal time of the blow up for some initial data.

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Mohamad Darwich. 2017-03-27. On the $L^{2}$-critical nonlinear Schrodinger equation with an inhomogeneous damping term. https://arxiv.org/abs/1703.09101

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